Solve the inequality x2 2x 15 0SolutionDear Student Thank y

Solve the inequality x2 2x 15 < 0

Solution

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x^2 -2x -15 < 0

=>

x^2 -5x + 3x - 15 < 0

x (x -5) + 3 (x - 5) < 0

(x + 3) (x - 5) < 0

Intervals are (-Infinity, -3) , (-3,5) , (5, Infinity)

The given expression is true, i.e. f(x) <0 only in the interval (-3,5).

Solution